集合论模型

Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic Pub Date : 2020-04-01 DOI:10.1142/9789811201936_0008

P. Koepke

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引用次数: 0

摘要

集合论的传递模型，使用遗传有序可定义集合的选择公理的相对一致性，强制条件和一般滤波器，一般扩展，ZFC在一般扩展中的保持，连续统假设和连续统假设的否定的相对一致性，函数2的可能行为，选择公理否定的相对一致性。

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Models of Set Theory

Transitive models of set theory, the relative consistency of the axiom of choice using the hereditarily ordinal definable sets, forcing conditions and generic filters, generic extensions, ZFC holds in generic extensions, the relative consistency of the continuum hypothesis and of the negation of the continuum hypothesis, possible behaviours of the function 2, the relative consistency of the negation of the axiom of choice.

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Set Theory and Foundations of Mathematics: An Introduction to Mathematical Logic

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